Faradays Law Of Induction Mutual And Self Inductance
Faraday’s Law of Induction
- Magnetic flux (Φ): Amount of magnetic field through an area. Visualize a “magnetic field lines.”
- EMF (ε): Voltage from changing magnetic flux. Imagine being shocked by a suddenly moving magnet.
- Lenz’s law: Induced EMF “fights back” against flux changes. Right-hand rule shows its direction.
- Faraday’s law: Rate of flux change directly gives induced EMF. It’s like measuring water flow rate.
Mutual Inductance (M)
- Ratio of induced EMF in one coil due to the change in current of another to the rate of change of that current.
- Formula: $$M=\frac{\mu_0 N_1 N_2 A}{l}$$
- Breakdown: M in Henry (H) is incorrect; the symbol for the unit of magnetic flux density is Weber (Wb), and the symbol for magnetic field strength is Tesla (T). The unit Henry (H) is used for inductance.
- μ0 is the permeability of free space (4π × 10-7 T m/A).
- N1, N2 are coil turns.
- A is coil area in square meters.
- l is coil length in meters.
Self-Inductance (L)
- Ratio of back EMF in a coil to the rate of change of current.
- Formula: $$L= \frac{\mu_0 N^2 A}{l}$$
- Breakdown: L in Henry (H) unit.
- μ0 is the permeability of free space (4π × 10-7 T m/A).
- N is the number of turns in the coil.
- A is the cross-sectional area of the coil in square meters.
- l is the length of the coil in meters.
BETA
